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Finding the Third Proportional to 107,248 and 235,502

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Solution

The third proportional to 107,248 and 235,502 is: 517,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,248 : 235,502 = 235,502 : x
  2. Step 2: Convert to fraction form
    107,248/235,502 = 235,502/x
  3. Step 3: Cross multiply
    107,248x = 235,502 × 235,502
  4. Step 4: Simplify right side
    107,248x = 55,461,192,004
  5. Step 5: Solve for x
    x = 55,461,192,004/107,248
  6. Step 6: Final answer
    x = 517,130.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.