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Finding the Third Proportional to 98,706.50 and 156,987.75

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Solution

The third proportional to 98,706.50 and 156,987.75 is: 249,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,706.50 : 156,987.75 = 156,987.75 : x
  2. Step 2: Convert to fraction form
    98,706.50/156,987.75 = 156,987.75/x
  3. Step 3: Cross multiply
    98,706.50x = 156,987.75 × 156,987.75
  4. Step 4: Simplify right side
    98,706.50x = 24,645,153,650.06
  5. Step 5: Solve for x
    x = 24,645,153,650.06/98,706.50
  6. Step 6: Final answer
    x = 249,681.16

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Why These Related Problems?

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