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Finding the Third Proportional to 65,430.60 and 101,029.15

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Solution

The third proportional to 65,430.60 and 101,029.15 is: 155,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,430.60 : 101,029.15 = 101,029.15 : x
  2. Step 2: Convert to fraction form
    65,430.60/101,029.15 = 101,029.15/x
  3. Step 3: Cross multiply
    65,430.60x = 101,029.15 × 101,029.15
  4. Step 4: Simplify right side
    65,430.60x = 10,206,888,834.01
  5. Step 5: Solve for x
    x = 10,206,888,834.01/65,430.60
  6. Step 6: Final answer
    x = 155,995.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.