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Finding the Third Proportional to 63,386 and 97,437

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Solution

The third proportional to 63,386 and 97,437 is: 149,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,386 : 97,437 = 97,437 : x
  2. Step 2: Convert to fraction form
    63,386/97,437 = 97,437/x
  3. Step 3: Cross multiply
    63,386x = 97,437 × 97,437
  4. Step 4: Simplify right side
    63,386x = 9,493,968,969
  5. Step 5: Solve for x
    x = 9,493,968,969/63,386
  6. Step 6: Final answer
    x = 149,780.22

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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.