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Finding the Third Proportional to 60,417 and 130,553

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Solution

The third proportional to 60,417 and 130,553 is: 282,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,417 : 130,553 = 130,553 : x
  2. Step 2: Convert to fraction form
    60,417/130,553 = 130,553/x
  3. Step 3: Cross multiply
    60,417x = 130,553 × 130,553
  4. Step 4: Simplify right side
    60,417x = 17,044,085,809
  5. Step 5: Solve for x
    x = 17,044,085,809/60,417
  6. Step 6: Final answer
    x = 282,107.45

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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.