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Finding the Third Proportional to 98,718.75 and 156,826.13

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Solution

The third proportional to 98,718.75 and 156,826.13 is: 249,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,718.75 : 156,826.13 = 156,826.13 : x
  2. Step 2: Convert to fraction form
    98,718.75/156,826.13 = 156,826.13/x
  3. Step 3: Cross multiply
    98,718.75x = 156,826.13 × 156,826.13
  4. Step 4: Simplify right side
    98,718.75x = 24,594,433,482.52
  5. Step 5: Solve for x
    x = 24,594,433,482.52/98,718.75
  6. Step 6: Final answer
    x = 249,136.39

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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.