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Finding the Third Proportional to 58,743 and 130,566

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Solution

The third proportional to 58,743 and 130,566 is: 290,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,743 : 130,566 = 130,566 : x
  2. Step 2: Convert to fraction form
    58,743/130,566 = 130,566/x
  3. Step 3: Cross multiply
    58,743x = 130,566 × 130,566
  4. Step 4: Simplify right side
    58,743x = 17,047,480,356
  5. Step 5: Solve for x
    x = 17,047,480,356/58,743
  6. Step 6: Final answer
    x = 290,204.46

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Why These Related Problems?

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