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Finding the Third Proportional to 61,428.50 and 129,416.50

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Solution

The third proportional to 61,428.50 and 129,416.50 is: 272,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,428.50 : 129,416.50 = 129,416.50 : x
  2. Step 2: Convert to fraction form
    61,428.50/129,416.50 = 129,416.50/x
  3. Step 3: Cross multiply
    61,428.50x = 129,416.50 × 129,416.50
  4. Step 4: Simplify right side
    61,428.50x = 16,748,630,472.25
  5. Step 5: Solve for x
    x = 16,748,630,472.25/61,428.50
  6. Step 6: Final answer
    x = 272,652.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.