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Finding the Third Proportional to 58,320 and 127,602

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Solution

The third proportional to 58,320 and 127,602 is: 279,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,320 : 127,602 = 127,602 : x
  2. Step 2: Convert to fraction form
    58,320/127,602 = 127,602/x
  3. Step 3: Cross multiply
    58,320x = 127,602 × 127,602
  4. Step 4: Simplify right side
    58,320x = 16,282,270,404
  5. Step 5: Solve for x
    x = 16,282,270,404/58,320
  6. Step 6: Final answer
    x = 279,188.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.