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Finding the Third Proportional to 58,088 and 127,240

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Solution

The third proportional to 58,088 and 127,240 is: 278,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,088 : 127,240 = 127,240 : x
  2. Step 2: Convert to fraction form
    58,088/127,240 = 127,240/x
  3. Step 3: Cross multiply
    58,088x = 127,240 × 127,240
  4. Step 4: Simplify right side
    58,088x = 16,190,017,600
  5. Step 5: Solve for x
    x = 16,190,017,600/58,088
  6. Step 6: Final answer
    x = 278,715.36

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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.