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Finding the Third Proportional to 61,638 and 95,071

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Solution

The third proportional to 61,638 and 95,071 is: 146,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,638 : 95,071 = 95,071 : x
  2. Step 2: Convert to fraction form
    61,638/95,071 = 95,071/x
  3. Step 3: Cross multiply
    61,638x = 95,071 × 95,071
  4. Step 4: Simplify right side
    61,638x = 9,038,495,041
  5. Step 5: Solve for x
    x = 9,038,495,041/61,638
  6. Step 6: Final answer
    x = 146,638.36

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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.