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Finding the Third Proportional to 58,748 and 87,865

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Solution

The third proportional to 58,748 and 87,865 is: 131,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,748 : 87,865 = 87,865 : x
  2. Step 2: Convert to fraction form
    58,748/87,865 = 87,865/x
  3. Step 3: Cross multiply
    58,748x = 87,865 × 87,865
  4. Step 4: Simplify right side
    58,748x = 7,720,258,225
  5. Step 5: Solve for x
    x = 7,720,258,225/58,748
  6. Step 6: Final answer
    x = 131,413.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.