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Finding the Third Proportional to 116,130 and 169,714

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Solution

The third proportional to 116,130 and 169,714 is: 248,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,130 : 169,714 = 169,714 : x
  2. Step 2: Convert to fraction form
    116,130/169,714 = 169,714/x
  3. Step 3: Cross multiply
    116,130x = 169,714 × 169,714
  4. Step 4: Simplify right side
    116,130x = 28,802,841,796
  5. Step 5: Solve for x
    x = 28,802,841,796/116,130
  6. Step 6: Final answer
    x = 248,022.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.