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Finding the Third Proportional to 58,557 and 130,214.50

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Solution

The third proportional to 58,557 and 130,214.50 is: 289,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,557 : 130,214.50 = 130,214.50 : x
  2. Step 2: Convert to fraction form
    58,557/130,214.50 = 130,214.50/x
  3. Step 3: Cross multiply
    58,557x = 130,214.50 × 130,214.50
  4. Step 4: Simplify right side
    58,557x = 16,955,816,010.25
  5. Step 5: Solve for x
    x = 16,955,816,010.25/58,557
  6. Step 6: Final answer
    x = 289,560.87

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.