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Finding the Third Proportional to 58,964 and 127,896

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Solution

The third proportional to 58,964 and 127,896 is: 277,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,964 : 127,896 = 127,896 : x
  2. Step 2: Convert to fraction form
    58,964/127,896 = 127,896/x
  3. Step 3: Cross multiply
    58,964x = 127,896 × 127,896
  4. Step 4: Simplify right side
    58,964x = 16,357,386,816
  5. Step 5: Solve for x
    x = 16,357,386,816/58,964
  6. Step 6: Final answer
    x = 277,413.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.