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Finding the Third Proportional to 105,632.86 and 163,575.07

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Solution

The third proportional to 105,632.86 and 163,575.07 is: 253,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,632.86 : 163,575.07 = 163,575.07 : x
  2. Step 2: Convert to fraction form
    105,632.86/163,575.07 = 163,575.07/x
  3. Step 3: Cross multiply
    105,632.86x = 163,575.07 × 163,575.07
  4. Step 4: Simplify right side
    105,632.86x = 26,756,803,627.74
  5. Step 5: Solve for x
    x = 26,756,803,627.74/105,632.86
  6. Step 6: Final answer
    x = 253,300.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.