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Finding the Third Proportional to 62,127 and 96,376.50

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Solution

The third proportional to 62,127 and 96,376.50 is: 149,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,127 : 96,376.50 = 96,376.50 : x
  2. Step 2: Convert to fraction form
    62,127/96,376.50 = 96,376.50/x
  3. Step 3: Cross multiply
    62,127x = 96,376.50 × 96,376.50
  4. Step 4: Simplify right side
    62,127x = 9,288,429,752.25
  5. Step 5: Solve for x
    x = 9,288,429,752.25/62,127
  6. Step 6: Final answer
    x = 149,507.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.