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Finding the Third Proportional to 72,153 and 98,293

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Solution

The third proportional to 72,153 and 98,293 is: 133,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,153 : 98,293 = 98,293 : x
  2. Step 2: Convert to fraction form
    72,153/98,293 = 98,293/x
  3. Step 3: Cross multiply
    72,153x = 98,293 × 98,293
  4. Step 4: Simplify right side
    72,153x = 9,661,513,849
  5. Step 5: Solve for x
    x = 9,661,513,849/72,153
  6. Step 6: Final answer
    x = 133,903.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.