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Finding the Third Proportional to 102,015 and 153,023

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Solution

The third proportional to 102,015 and 153,023 is: 229,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015 : 153,023 = 153,023 : x
  2. Step 2: Convert to fraction form
    102,015/153,023 = 153,023/x
  3. Step 3: Cross multiply
    102,015x = 153,023 × 153,023
  4. Step 4: Simplify right side
    102,015x = 23,416,038,529
  5. Step 5: Solve for x
    x = 23,416,038,529/102,015
  6. Step 6: Final answer
    x = 229,535.25

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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.