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Finding the Third Proportional to 58,145 and 125,587

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Solution

The third proportional to 58,145 and 125,587 is: 271,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,145 : 125,587 = 125,587 : x
  2. Step 2: Convert to fraction form
    58,145/125,587 = 125,587/x
  3. Step 3: Cross multiply
    58,145x = 125,587 × 125,587
  4. Step 4: Simplify right side
    58,145x = 15,772,094,569
  5. Step 5: Solve for x
    x = 15,772,094,569/58,145
  6. Step 6: Final answer
    x = 271,254.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.