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Finding the Third Proportional to 53,358 and 75,852

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Solution

The third proportional to 53,358 and 75,852 is: 107,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,358 : 75,852 = 75,852 : x
  2. Step 2: Convert to fraction form
    53,358/75,852 = 75,852/x
  3. Step 3: Cross multiply
    53,358x = 75,852 × 75,852
  4. Step 4: Simplify right side
    53,358x = 5,753,525,904
  5. Step 5: Solve for x
    x = 5,753,525,904/53,358
  6. Step 6: Final answer
    x = 107,828.74

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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.