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Finding the Third Proportional to 65,731.50 and 103,001.63

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Solution

The third proportional to 65,731.50 and 103,001.63 is: 161,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.50 : 103,001.63 = 103,001.63 : x
  2. Step 2: Convert to fraction form
    65,731.50/103,001.63 = 103,001.63/x
  3. Step 3: Cross multiply
    65,731.50x = 103,001.63 × 103,001.63
  4. Step 4: Simplify right side
    65,731.50x = 10,609,334,752.64
  5. Step 5: Solve for x
    x = 10,609,334,752.64/65,731.50
  6. Step 6: Final answer
    x = 161,404.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.