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Finding the Third Proportional to 53,547 and 75,218

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Solution

The third proportional to 53,547 and 75,218 is: 105,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,547 : 75,218 = 75,218 : x
  2. Step 2: Convert to fraction form
    53,547/75,218 = 75,218/x
  3. Step 3: Cross multiply
    53,547x = 75,218 × 75,218
  4. Step 4: Simplify right side
    53,547x = 5,657,747,524
  5. Step 5: Solve for x
    x = 5,657,747,524/53,547
  6. Step 6: Final answer
    x = 105,659.47

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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.