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Finding the Third Proportional to 53,841 and 77,070

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Solution

The third proportional to 53,841 and 77,070 is: 110,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,841 : 77,070 = 77,070 : x
  2. Step 2: Convert to fraction form
    53,841/77,070 = 77,070/x
  3. Step 3: Cross multiply
    53,841x = 77,070 × 77,070
  4. Step 4: Simplify right side
    53,841x = 5,939,784,900
  5. Step 5: Solve for x
    x = 5,939,784,900/53,841
  6. Step 6: Final answer
    x = 110,320.85

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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.