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Finding the Third Proportional to 102,626 and 153,528

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Solution

The third proportional to 102,626 and 153,528 is: 229,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,626 : 153,528 = 153,528 : x
  2. Step 2: Convert to fraction form
    102,626/153,528 = 153,528/x
  3. Step 3: Cross multiply
    102,626x = 153,528 × 153,528
  4. Step 4: Simplify right side
    102,626x = 23,570,846,784
  5. Step 5: Solve for x
    x = 23,570,846,784/102,626
  6. Step 6: Final answer
    x = 229,677.15

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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.