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Finding the Third Proportional to 58,302 and 128,403

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Solution

The third proportional to 58,302 and 128,403 is: 282,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,302 : 128,403 = 128,403 : x
  2. Step 2: Convert to fraction form
    58,302/128,403 = 128,403/x
  3. Step 3: Cross multiply
    58,302x = 128,403 × 128,403
  4. Step 4: Simplify right side
    58,302x = 16,487,330,409
  5. Step 5: Solve for x
    x = 16,487,330,409/58,302
  6. Step 6: Final answer
    x = 282,791.85

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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.