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Finding the Third Proportional to 60,590 and 124,118

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Solution

The third proportional to 60,590 and 124,118 is: 254,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,590 : 124,118 = 124,118 : x
  2. Step 2: Convert to fraction form
    60,590/124,118 = 124,118/x
  3. Step 3: Cross multiply
    60,590x = 124,118 × 124,118
  4. Step 4: Simplify right side
    60,590x = 15,405,277,924
  5. Step 5: Solve for x
    x = 15,405,277,924/60,590
  6. Step 6: Final answer
    x = 254,254.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.