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Finding the Third Proportional to 102,071 and 153,209

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Solution

The third proportional to 102,071 and 153,209 is: 229,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071 : 153,209 = 153,209 : x
  2. Step 2: Convert to fraction form
    102,071/153,209 = 153,209/x
  3. Step 3: Cross multiply
    102,071x = 153,209 × 153,209
  4. Step 4: Simplify right side
    102,071x = 23,472,997,681
  5. Step 5: Solve for x
    x = 23,472,997,681/102,071
  6. Step 6: Final answer
    x = 229,967.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.