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Finding the Third Proportional to 51,428 and 75,360

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Solution

The third proportional to 51,428 and 75,360 is: 110,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428 : 75,360 = 75,360 : x
  2. Step 2: Convert to fraction form
    51,428/75,360 = 75,360/x
  3. Step 3: Cross multiply
    51,428x = 75,360 × 75,360
  4. Step 4: Simplify right side
    51,428x = 5,679,129,600
  5. Step 5: Solve for x
    x = 5,679,129,600/51,428
  6. Step 6: Final answer
    x = 110,428.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.