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Finding the Third Proportional to 103,748 and 162,579

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Solution

The third proportional to 103,748 and 162,579 is: 254,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,748 : 162,579 = 162,579 : x
  2. Step 2: Convert to fraction form
    103,748/162,579 = 162,579/x
  3. Step 3: Cross multiply
    103,748x = 162,579 × 162,579
  4. Step 4: Simplify right side
    103,748x = 26,431,931,241
  5. Step 5: Solve for x
    x = 26,431,931,241/103,748
  6. Step 6: Final answer
    x = 254,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.