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Finding the Third Proportional to 65,746.88 and 93,031.31

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Solution

The third proportional to 65,746.88 and 93,031.31 is: 131,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746.88 : 93,031.31 = 93,031.31 : x
  2. Step 2: Convert to fraction form
    65,746.88/93,031.31 = 93,031.31/x
  3. Step 3: Cross multiply
    65,746.88x = 93,031.31 × 93,031.31
  4. Step 4: Simplify right side
    65,746.88x = 8,654,825,105.47
  5. Step 5: Solve for x
    x = 8,654,825,105.47/65,746.88
  6. Step 6: Final answer
    x = 131,638.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.