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Finding the Third Proportional to 98,539.25 and 152,175.50

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Solution

The third proportional to 98,539.25 and 152,175.50 is: 235,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539.25 : 152,175.50 = 152,175.50 : x
  2. Step 2: Convert to fraction form
    98,539.25/152,175.50 = 152,175.50/x
  3. Step 3: Cross multiply
    98,539.25x = 152,175.50 × 152,175.50
  4. Step 4: Simplify right side
    98,539.25x = 23,157,382,800.25
  5. Step 5: Solve for x
    x = 23,157,382,800.25/98,539.25
  6. Step 6: Final answer
    x = 235,006.69

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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.