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Finding the Third Proportional to 98,582 and 152,929

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Solution

The third proportional to 98,582 and 152,929 is: 237,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,582 : 152,929 = 152,929 : x
  2. Step 2: Convert to fraction form
    98,582/152,929 = 152,929/x
  3. Step 3: Cross multiply
    98,582x = 152,929 × 152,929
  4. Step 4: Simplify right side
    98,582x = 23,387,279,041
  5. Step 5: Solve for x
    x = 23,387,279,041/98,582
  6. Step 6: Final answer
    x = 237,236.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.