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Finding the Third Proportional to 129,952.50 and 282,139.50

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Solution

The third proportional to 129,952.50 and 282,139.50 is: 612,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,952.50 : 282,139.50 = 282,139.50 : x
  2. Step 2: Convert to fraction form
    129,952.50/282,139.50 = 282,139.50/x
  3. Step 3: Cross multiply
    129,952.50x = 282,139.50 × 282,139.50
  4. Step 4: Simplify right side
    129,952.50x = 79,602,697,460.25
  5. Step 5: Solve for x
    x = 79,602,697,460.25/129,952.50
  6. Step 6: Final answer
    x = 612,552.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.