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Finding the Third Proportional to 53,062 and 74,385

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Solution

The third proportional to 53,062 and 74,385 is: 104,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,062 : 74,385 = 74,385 : x
  2. Step 2: Convert to fraction form
    53,062/74,385 = 74,385/x
  3. Step 3: Cross multiply
    53,062x = 74,385 × 74,385
  4. Step 4: Simplify right side
    53,062x = 5,533,128,225
  5. Step 5: Solve for x
    x = 5,533,128,225/53,062
  6. Step 6: Final answer
    x = 104,276.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.