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Finding the Third Proportional to 58,365 and 88,074

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Solution

The third proportional to 58,365 and 88,074 is: 132,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,365 : 88,074 = 88,074 : x
  2. Step 2: Convert to fraction form
    58,365/88,074 = 88,074/x
  3. Step 3: Cross multiply
    58,365x = 88,074 × 88,074
  4. Step 4: Simplify right side
    58,365x = 7,757,029,476
  5. Step 5: Solve for x
    x = 7,757,029,476/58,365
  6. Step 6: Final answer
    x = 132,905.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.