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Finding the Third Proportional to 60,292.69 and 132,430.78

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Solution

The third proportional to 60,292.69 and 132,430.78 is: 290,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,292.69 : 132,430.78 = 132,430.78 : x
  2. Step 2: Convert to fraction form
    60,292.69/132,430.78 = 132,430.78/x
  3. Step 3: Cross multiply
    60,292.69x = 132,430.78 × 132,430.78
  4. Step 4: Simplify right side
    60,292.69x = 17,537,911,822.49
  5. Step 5: Solve for x
    x = 17,537,911,822.49/60,292.69
  6. Step 6: Final answer
    x = 290,879.58

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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.