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Finding the Third Proportional to 60,141 and 130,533

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Solution

The third proportional to 60,141 and 130,533 is: 283,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,141 : 130,533 = 130,533 : x
  2. Step 2: Convert to fraction form
    60,141/130,533 = 130,533/x
  3. Step 3: Cross multiply
    60,141x = 130,533 × 130,533
  4. Step 4: Simplify right side
    60,141x = 17,038,864,089
  5. Step 5: Solve for x
    x = 17,038,864,089/60,141
  6. Step 6: Final answer
    x = 283,315.28

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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.