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Finding the Third Proportional to 77,437 and 114,714

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Solution

The third proportional to 77,437 and 114,714 is: 169,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,437 : 114,714 = 114,714 : x
  2. Step 2: Convert to fraction form
    77,437/114,714 = 114,714/x
  3. Step 3: Cross multiply
    77,437x = 114,714 × 114,714
  4. Step 4: Simplify right side
    77,437x = 13,159,301,796
  5. Step 5: Solve for x
    x = 13,159,301,796/77,437
  6. Step 6: Final answer
    x = 169,935.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.