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Finding the Third Proportional to 62,670 and 94,126.50

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Solution

The third proportional to 62,670 and 94,126.50 is: 141,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,670 : 94,126.50 = 94,126.50 : x
  2. Step 2: Convert to fraction form
    62,670/94,126.50 = 94,126.50/x
  3. Step 3: Cross multiply
    62,670x = 94,126.50 × 94,126.50
  4. Step 4: Simplify right side
    62,670x = 8,859,798,002.25
  5. Step 5: Solve for x
    x = 8,859,798,002.25/62,670
  6. Step 6: Final answer
    x = 141,372.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.