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Finding the Third Proportional to 61,737.19 and 92,341.69

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Solution

The third proportional to 61,737.19 and 92,341.69 is: 138,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,737.19 : 92,341.69 = 92,341.69 : x
  2. Step 2: Convert to fraction form
    61,737.19/92,341.69 = 92,341.69/x
  3. Step 3: Cross multiply
    61,737.19x = 92,341.69 × 92,341.69
  4. Step 4: Simplify right side
    61,737.19x = 8,526,987,250.35
  5. Step 5: Solve for x
    x = 8,526,987,250.35/61,737.19
  6. Step 6: Final answer
    x = 138,117.52

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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.