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Finding the Third Proportional to 113,712 and 179,928

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Solution

The third proportional to 113,712 and 179,928 is: 284,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,712 : 179,928 = 179,928 : x
  2. Step 2: Convert to fraction form
    113,712/179,928 = 179,928/x
  3. Step 3: Cross multiply
    113,712x = 179,928 × 179,928
  4. Step 4: Simplify right side
    113,712x = 32,374,085,184
  5. Step 5: Solve for x
    x = 32,374,085,184/113,712
  6. Step 6: Final answer
    x = 284,702.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.