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Finding the Third Proportional to 98,883 and 157,216

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Solution

The third proportional to 98,883 and 157,216 is: 249,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,883 : 157,216 = 157,216 : x
  2. Step 2: Convert to fraction form
    98,883/157,216 = 157,216/x
  3. Step 3: Cross multiply
    98,883x = 157,216 × 157,216
  4. Step 4: Simplify right side
    98,883x = 24,716,870,656
  5. Step 5: Solve for x
    x = 24,716,870,656/98,883
  6. Step 6: Final answer
    x = 249,960.77

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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.