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Finding the Third Proportional to 107,106 and 160,335

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Solution

The third proportional to 107,106 and 160,335 is: 240,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,106 : 160,335 = 160,335 : x
  2. Step 2: Convert to fraction form
    107,106/160,335 = 160,335/x
  3. Step 3: Cross multiply
    107,106x = 160,335 × 160,335
  4. Step 4: Simplify right side
    107,106x = 25,707,312,225
  5. Step 5: Solve for x
    x = 25,707,312,225/107,106
  6. Step 6: Final answer
    x = 240,017.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.