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Finding the Third Proportional to 71,260 and 112,830

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Solution

The third proportional to 71,260 and 112,830 is: 178,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,260 : 112,830 = 112,830 : x
  2. Step 2: Convert to fraction form
    71,260/112,830 = 112,830/x
  3. Step 3: Cross multiply
    71,260x = 112,830 × 112,830
  4. Step 4: Simplify right side
    71,260x = 12,730,608,900
  5. Step 5: Solve for x
    x = 12,730,608,900/71,260
  6. Step 6: Final answer
    x = 178,650.14

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.