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Finding the Third Proportional to 76,106 and 157,516

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Solution

The third proportional to 76,106 and 157,516 is: 326,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106 : 157,516 = 157,516 : x
  2. Step 2: Convert to fraction form
    76,106/157,516 = 157,516/x
  3. Step 3: Cross multiply
    76,106x = 157,516 × 157,516
  4. Step 4: Simplify right side
    76,106x = 24,811,290,256
  5. Step 5: Solve for x
    x = 24,811,290,256/76,106
  6. Step 6: Final answer
    x = 326,009.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.