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Finding the Third Proportional to 52,292.25 and 78,931.13

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Solution

The third proportional to 52,292.25 and 78,931.13 is: 119,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,292.25 : 78,931.13 = 78,931.13 : x
  2. Step 2: Convert to fraction form
    52,292.25/78,931.13 = 78,931.13/x
  3. Step 3: Cross multiply
    52,292.25x = 78,931.13 × 78,931.13
  4. Step 4: Simplify right side
    52,292.25x = 6,230,122,493.77
  5. Step 5: Solve for x
    x = 6,230,122,493.77/52,292.25
  6. Step 6: Final answer
    x = 119,140.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.