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Finding the Third Proportional to 52,130 and 74,275

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Solution

The third proportional to 52,130 and 74,275 is: 105,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130 : 74,275 = 74,275 : x
  2. Step 2: Convert to fraction form
    52,130/74,275 = 74,275/x
  3. Step 3: Cross multiply
    52,130x = 74,275 × 74,275
  4. Step 4: Simplify right side
    52,130x = 5,516,775,625
  5. Step 5: Solve for x
    x = 5,516,775,625/52,130
  6. Step 6: Final answer
    x = 105,827.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.