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Finding the Third Proportional to 56,465 and 86,459

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Solution

The third proportional to 56,465 and 86,459 is: 132,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,465 : 86,459 = 86,459 : x
  2. Step 2: Convert to fraction form
    56,465/86,459 = 86,459/x
  3. Step 3: Cross multiply
    56,465x = 86,459 × 86,459
  4. Step 4: Simplify right side
    56,465x = 7,475,158,681
  5. Step 5: Solve for x
    x = 7,475,158,681/56,465
  6. Step 6: Final answer
    x = 132,385.70

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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.