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Finding the Third Proportional to 72,616 and 157,294

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Solution

The third proportional to 72,616 and 157,294 is: 340,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,616 : 157,294 = 157,294 : x
  2. Step 2: Convert to fraction form
    72,616/157,294 = 157,294/x
  3. Step 3: Cross multiply
    72,616x = 157,294 × 157,294
  4. Step 4: Simplify right side
    72,616x = 24,741,402,436
  5. Step 5: Solve for x
    x = 24,741,402,436/72,616
  6. Step 6: Final answer
    x = 340,715.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.