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Finding the Third Proportional to 98,716 and 157,004

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Solution

The third proportional to 98,716 and 157,004 is: 249,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,716 : 157,004 = 157,004 : x
  2. Step 2: Convert to fraction form
    98,716/157,004 = 157,004/x
  3. Step 3: Cross multiply
    98,716x = 157,004 × 157,004
  4. Step 4: Simplify right side
    98,716x = 24,650,256,016
  5. Step 5: Solve for x
    x = 24,650,256,016/98,716
  6. Step 6: Final answer
    x = 249,708.82

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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.