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Finding the Third Proportional to 53,681 and 78,674

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Solution

The third proportional to 53,681 and 78,674 is: 115,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,681 : 78,674 = 78,674 : x
  2. Step 2: Convert to fraction form
    53,681/78,674 = 78,674/x
  3. Step 3: Cross multiply
    53,681x = 78,674 × 78,674
  4. Step 4: Simplify right side
    53,681x = 6,189,598,276
  5. Step 5: Solve for x
    x = 6,189,598,276/53,681
  6. Step 6: Final answer
    x = 115,303.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.