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Finding the Third Proportional to 103,478 and 164,127

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Solution

The third proportional to 103,478 and 164,127 is: 260,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,478 : 164,127 = 164,127 : x
  2. Step 2: Convert to fraction form
    103,478/164,127 = 164,127/x
  3. Step 3: Cross multiply
    103,478x = 164,127 × 164,127
  4. Step 4: Simplify right side
    103,478x = 26,937,672,129
  5. Step 5: Solve for x
    x = 26,937,672,129/103,478
  6. Step 6: Final answer
    x = 260,322.70

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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.