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Finding the Third Proportional to 59,827.50 and 130,521.38

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Solution

The third proportional to 59,827.50 and 130,521.38 is: 284,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,827.50 : 130,521.38 = 130,521.38 : x
  2. Step 2: Convert to fraction form
    59,827.50/130,521.38 = 130,521.38/x
  3. Step 3: Cross multiply
    59,827.50x = 130,521.38 × 130,521.38
  4. Step 4: Simplify right side
    59,827.50x = 17,035,829,331.89
  5. Step 5: Solve for x
    x = 17,035,829,331.89/59,827.50
  6. Step 6: Final answer
    x = 284,749.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.