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Finding the Third Proportional to 98,714 and 152,685

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Solution

The third proportional to 98,714 and 152,685 is: 236,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714 : 152,685 = 152,685 : x
  2. Step 2: Convert to fraction form
    98,714/152,685 = 152,685/x
  3. Step 3: Cross multiply
    98,714x = 152,685 × 152,685
  4. Step 4: Simplify right side
    98,714x = 23,312,709,225
  5. Step 5: Solve for x
    x = 23,312,709,225/98,714
  6. Step 6: Final answer
    x = 236,164.16

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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.