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Finding the Third Proportional to 56,994 and 124,719

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Solution

The third proportional to 56,994 and 124,719 is: 272,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,994 : 124,719 = 124,719 : x
  2. Step 2: Convert to fraction form
    56,994/124,719 = 124,719/x
  3. Step 3: Cross multiply
    56,994x = 124,719 × 124,719
  4. Step 4: Simplify right side
    56,994x = 15,554,828,961
  5. Step 5: Solve for x
    x = 15,554,828,961/56,994
  6. Step 6: Final answer
    x = 272,920.46

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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.