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Finding the Third Proportional to 88,238 and 130,629

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Solution

The third proportional to 88,238 and 130,629 is: 193,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,238 : 130,629 = 130,629 : x
  2. Step 2: Convert to fraction form
    88,238/130,629 = 130,629/x
  3. Step 3: Cross multiply
    88,238x = 130,629 × 130,629
  4. Step 4: Simplify right side
    88,238x = 17,063,935,641
  5. Step 5: Solve for x
    x = 17,063,935,641/88,238
  6. Step 6: Final answer
    x = 193,385.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.