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Finding the Third Proportional to 58,230 and 88,428

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Solution

The third proportional to 58,230 and 88,428 is: 134,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,230 : 88,428 = 88,428 : x
  2. Step 2: Convert to fraction form
    58,230/88,428 = 88,428/x
  3. Step 3: Cross multiply
    58,230x = 88,428 × 88,428
  4. Step 4: Simplify right side
    58,230x = 7,819,511,184
  5. Step 5: Solve for x
    x = 7,819,511,184/58,230
  6. Step 6: Final answer
    x = 134,286.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.