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Finding the Third Proportional to 102,164 and 153,386

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Solution

The third proportional to 102,164 and 153,386 is: 230,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164 : 153,386 = 153,386 : x
  2. Step 2: Convert to fraction form
    102,164/153,386 = 153,386/x
  3. Step 3: Cross multiply
    102,164x = 153,386 × 153,386
  4. Step 4: Simplify right side
    102,164x = 23,527,264,996
  5. Step 5: Solve for x
    x = 23,527,264,996/102,164
  6. Step 6: Final answer
    x = 230,289.19

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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.