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Finding the Third Proportional to 58,506 and 130,548

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Solution

The third proportional to 58,506 and 130,548 is: 291,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,506 : 130,548 = 130,548 : x
  2. Step 2: Convert to fraction form
    58,506/130,548 = 130,548/x
  3. Step 3: Cross multiply
    58,506x = 130,548 × 130,548
  4. Step 4: Simplify right side
    58,506x = 17,042,780,304
  5. Step 5: Solve for x
    x = 17,042,780,304/58,506
  6. Step 6: Final answer
    x = 291,299.70

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Why These Related Problems?

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