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Finding the Third Proportional to 88,866 and 117,423

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Solution

The third proportional to 88,866 and 117,423 is: 155,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,866 : 117,423 = 117,423 : x
  2. Step 2: Convert to fraction form
    88,866/117,423 = 117,423/x
  3. Step 3: Cross multiply
    88,866x = 117,423 × 117,423
  4. Step 4: Simplify right side
    88,866x = 13,788,160,929
  5. Step 5: Solve for x
    x = 13,788,160,929/88,866
  6. Step 6: Final answer
    x = 155,156.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.