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Finding the Third Proportional to 53,646 and 76,602

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Solution

The third proportional to 53,646 and 76,602 is: 109,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,646 : 76,602 = 76,602 : x
  2. Step 2: Convert to fraction form
    53,646/76,602 = 76,602/x
  3. Step 3: Cross multiply
    53,646x = 76,602 × 76,602
  4. Step 4: Simplify right side
    53,646x = 5,867,866,404
  5. Step 5: Solve for x
    x = 5,867,866,404/53,646
  6. Step 6: Final answer
    x = 109,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.