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Finding the Third Proportional to 63,466 and 97,230

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Solution

The third proportional to 63,466 and 97,230 is: 148,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,466 : 97,230 = 97,230 : x
  2. Step 2: Convert to fraction form
    63,466/97,230 = 97,230/x
  3. Step 3: Cross multiply
    63,466x = 97,230 × 97,230
  4. Step 4: Simplify right side
    63,466x = 9,453,672,900
  5. Step 5: Solve for x
    x = 9,453,672,900/63,466
  6. Step 6: Final answer
    x = 148,956.49

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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.