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Finding the Third Proportional to 65,404.13 and 98,106.19

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Solution

The third proportional to 65,404.13 and 98,106.19 is: 147,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,404.13 : 98,106.19 = 98,106.19 : x
  2. Step 2: Convert to fraction form
    65,404.13/98,106.19 = 98,106.19/x
  3. Step 3: Cross multiply
    65,404.13x = 98,106.19 × 98,106.19
  4. Step 4: Simplify right side
    65,404.13x = 9,624,824,025.79
  5. Step 5: Solve for x
    x = 9,624,824,025.79/65,404.13
  6. Step 6: Final answer
    x = 147,159.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.