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Finding the Third Proportional to 63,416 and 97,166

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Solution

The third proportional to 63,416 and 97,166 is: 148,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,416 : 97,166 = 97,166 : x
  2. Step 2: Convert to fraction form
    63,416/97,166 = 97,166/x
  3. Step 3: Cross multiply
    63,416x = 97,166 × 97,166
  4. Step 4: Simplify right side
    63,416x = 9,441,231,556
  5. Step 5: Solve for x
    x = 9,441,231,556/63,416
  6. Step 6: Final answer
    x = 148,877.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.