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Finding the Third Proportional to 129,417.75 and 275,602.50

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Solution

The third proportional to 129,417.75 and 275,602.50 is: 586,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,417.75 : 275,602.50 = 275,602.50 : x
  2. Step 2: Convert to fraction form
    129,417.75/275,602.50 = 275,602.50/x
  3. Step 3: Cross multiply
    129,417.75x = 275,602.50 × 275,602.50
  4. Step 4: Simplify right side
    129,417.75x = 75,956,738,006.25
  5. Step 5: Solve for x
    x = 75,956,738,006.25/129,417.75
  6. Step 6: Final answer
    x = 586,911.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.