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Finding the Third Proportional to 88,528 and 135,373

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Solution

The third proportional to 88,528 and 135,373 is: 207,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,528 : 135,373 = 135,373 : x
  2. Step 2: Convert to fraction form
    88,528/135,373 = 135,373/x
  3. Step 3: Cross multiply
    88,528x = 135,373 × 135,373
  4. Step 4: Simplify right side
    88,528x = 18,325,849,129
  5. Step 5: Solve for x
    x = 18,325,849,129/88,528
  6. Step 6: Final answer
    x = 207,006.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.