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Finding the Third Proportional to 58,712.91 and 130,872.66

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Solution

The third proportional to 58,712.91 and 130,872.66 is: 291,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,712.91 : 130,872.66 = 130,872.66 : x
  2. Step 2: Convert to fraction form
    58,712.91/130,872.66 = 130,872.66/x
  3. Step 3: Cross multiply
    58,712.91x = 130,872.66 × 130,872.66
  4. Step 4: Simplify right side
    58,712.91x = 17,127,652,153.93
  5. Step 5: Solve for x
    x = 17,127,652,153.93/58,712.91
  6. Step 6: Final answer
    x = 291,718.69

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.