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Finding the Third Proportional to 60,509 and 133,033

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Solution

The third proportional to 60,509 and 133,033 is: 292,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,509 : 133,033 = 133,033 : x
  2. Step 2: Convert to fraction form
    60,509/133,033 = 133,033/x
  3. Step 3: Cross multiply
    60,509x = 133,033 × 133,033
  4. Step 4: Simplify right side
    60,509x = 17,697,779,089
  5. Step 5: Solve for x
    x = 17,697,779,089/60,509
  6. Step 6: Final answer
    x = 292,481.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.