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Finding the Third Proportional to 125,160 and 277,968

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Solution

The third proportional to 125,160 and 277,968 is: 617,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,160 : 277,968 = 277,968 : x
  2. Step 2: Convert to fraction form
    125,160/277,968 = 277,968/x
  3. Step 3: Cross multiply
    125,160x = 277,968 × 277,968
  4. Step 4: Simplify right side
    125,160x = 77,266,209,024
  5. Step 5: Solve for x
    x = 77,266,209,024/125,160
  6. Step 6: Final answer
    x = 617,339.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.