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Finding the Third Proportional to 64,860 and 141,459

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Solution

The third proportional to 64,860 and 141,459 is: 308,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,860 : 141,459 = 141,459 : x
  2. Step 2: Convert to fraction form
    64,860/141,459 = 141,459/x
  3. Step 3: Cross multiply
    64,860x = 141,459 × 141,459
  4. Step 4: Simplify right side
    64,860x = 20,010,648,681
  5. Step 5: Solve for x
    x = 20,010,648,681/64,860
  6. Step 6: Final answer
    x = 308,520.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.