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Finding the Third Proportional to 83,313 and 118,737

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Solution

The third proportional to 83,313 and 118,737 is: 169,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313 : 118,737 = 118,737 : x
  2. Step 2: Convert to fraction form
    83,313/118,737 = 118,737/x
  3. Step 3: Cross multiply
    83,313x = 118,737 × 118,737
  4. Step 4: Simplify right side
    83,313x = 14,098,475,169
  5. Step 5: Solve for x
    x = 14,098,475,169/83,313
  6. Step 6: Final answer
    x = 169,222.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.