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Finding the Third Proportional to 58,492 and 92,970

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Solution

The third proportional to 58,492 and 92,970 is: 147,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,492 : 92,970 = 92,970 : x
  2. Step 2: Convert to fraction form
    58,492/92,970 = 92,970/x
  3. Step 3: Cross multiply
    58,492x = 92,970 × 92,970
  4. Step 4: Simplify right side
    58,492x = 8,643,420,900
  5. Step 5: Solve for x
    x = 8,643,420,900/58,492
  6. Step 6: Final answer
    x = 147,770.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.