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Finding the Third Proportional to 109,164 and 163,070

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Solution

The third proportional to 109,164 and 163,070 is: 243,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,164 : 163,070 = 163,070 : x
  2. Step 2: Convert to fraction form
    109,164/163,070 = 163,070/x
  3. Step 3: Cross multiply
    109,164x = 163,070 × 163,070
  4. Step 4: Simplify right side
    109,164x = 26,591,824,900
  5. Step 5: Solve for x
    x = 26,591,824,900/109,164
  6. Step 6: Final answer
    x = 243,595.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.