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Finding the Third Proportional to 102,508 and 155,835

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Solution

The third proportional to 102,508 and 155,835 is: 236,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508 : 155,835 = 155,835 : x
  2. Step 2: Convert to fraction form
    102,508/155,835 = 155,835/x
  3. Step 3: Cross multiply
    102,508x = 155,835 × 155,835
  4. Step 4: Simplify right side
    102,508x = 24,284,547,225
  5. Step 5: Solve for x
    x = 24,284,547,225/102,508
  6. Step 6: Final answer
    x = 236,903.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.