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Finding the Third Proportional to 65,625.19 and 98,417.25

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Solution

The third proportional to 65,625.19 and 98,417.25 is: 147,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625.19 : 98,417.25 = 98,417.25 : x
  2. Step 2: Convert to fraction form
    65,625.19/98,417.25 = 98,417.25/x
  3. Step 3: Cross multiply
    65,625.19x = 98,417.25 × 98,417.25
  4. Step 4: Simplify right side
    65,625.19x = 9,685,955,097.56
  5. Step 5: Solve for x
    x = 9,685,955,097.56/65,625.19
  6. Step 6: Final answer
    x = 147,595.08

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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.