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Finding the Third Proportional to 60,281 and 130,597

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Solution

The third proportional to 60,281 and 130,597 is: 282,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,281 : 130,597 = 130,597 : x
  2. Step 2: Convert to fraction form
    60,281/130,597 = 130,597/x
  3. Step 3: Cross multiply
    60,281x = 130,597 × 130,597
  4. Step 4: Simplify right side
    60,281x = 17,055,576,409
  5. Step 5: Solve for x
    x = 17,055,576,409/60,281
  6. Step 6: Final answer
    x = 282,934.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.