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Finding the Third Proportional to 58,492 and 88,970

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Solution

The third proportional to 58,492 and 88,970 is: 135,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,492 : 88,970 = 88,970 : x
  2. Step 2: Convert to fraction form
    58,492/88,970 = 88,970/x
  3. Step 3: Cross multiply
    58,492x = 88,970 × 88,970
  4. Step 4: Simplify right side
    58,492x = 7,915,660,900
  5. Step 5: Solve for x
    x = 7,915,660,900/58,492
  6. Step 6: Final answer
    x = 135,328.95

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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.