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Finding the Third Proportional to 65,688.47 and 93,610.69

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Solution

The third proportional to 65,688.47 and 93,610.69 is: 133,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,688.47 : 93,610.69 = 93,610.69 : x
  2. Step 2: Convert to fraction form
    65,688.47/93,610.69 = 93,610.69/x
  3. Step 3: Cross multiply
    65,688.47x = 93,610.69 × 93,610.69
  4. Step 4: Simplify right side
    65,688.47x = 8,762,960,814.22
  5. Step 5: Solve for x
    x = 8,762,960,814.22/65,688.47
  6. Step 6: Final answer
    x = 133,401.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.