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Finding the Third Proportional to 56,973.75 and 124,674

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Solution

The third proportional to 56,973.75 and 124,674 is: 272,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,973.75 : 124,674 = 124,674 : x
  2. Step 2: Convert to fraction form
    56,973.75/124,674 = 124,674/x
  3. Step 3: Cross multiply
    56,973.75x = 124,674 × 124,674
  4. Step 4: Simplify right side
    56,973.75x = 15,543,606,276
  5. Step 5: Solve for x
    x = 15,543,606,276/56,973.75
  6. Step 6: Final answer
    x = 272,820.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.