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Finding the Third Proportional to 58,324 and 129,087.50

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Solution

The third proportional to 58,324 and 129,087.50 is: 285,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,324 : 129,087.50 = 129,087.50 : x
  2. Step 2: Convert to fraction form
    58,324/129,087.50 = 129,087.50/x
  3. Step 3: Cross multiply
    58,324x = 129,087.50 × 129,087.50
  4. Step 4: Simplify right side
    58,324x = 16,663,582,656.25
  5. Step 5: Solve for x
    x = 16,663,582,656.25/58,324
  6. Step 6: Final answer
    x = 285,707.13

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.