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Finding the Third Proportional to 92,428 and 143,058

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Solution

The third proportional to 92,428 and 143,058 is: 221,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,428 : 143,058 = 143,058 : x
  2. Step 2: Convert to fraction form
    92,428/143,058 = 143,058/x
  3. Step 3: Cross multiply
    92,428x = 143,058 × 143,058
  4. Step 4: Simplify right side
    92,428x = 20,465,591,364
  5. Step 5: Solve for x
    x = 20,465,591,364/92,428
  6. Step 6: Final answer
    x = 221,421.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.