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Finding the Third Proportional to 63,387 and 97,438.50

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Solution

The third proportional to 63,387 and 97,438.50 is: 149,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,387 : 97,438.50 = 97,438.50 : x
  2. Step 2: Convert to fraction form
    63,387/97,438.50 = 97,438.50/x
  3. Step 3: Cross multiply
    63,387x = 97,438.50 × 97,438.50
  4. Step 4: Simplify right side
    63,387x = 9,494,261,282.25
  5. Step 5: Solve for x
    x = 9,494,261,282.25/63,387
  6. Step 6: Final answer
    x = 149,782.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.