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Finding the Third Proportional to 98,186.50 and 155,724

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Solution

The third proportional to 98,186.50 and 155,724 is: 246,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186.50 : 155,724 = 155,724 : x
  2. Step 2: Convert to fraction form
    98,186.50/155,724 = 155,724/x
  3. Step 3: Cross multiply
    98,186.50x = 155,724 × 155,724
  4. Step 4: Simplify right side
    98,186.50x = 24,249,964,176
  5. Step 5: Solve for x
    x = 24,249,964,176/98,186.50
  6. Step 6: Final answer
    x = 246,978.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.