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Finding the Third Proportional to 130,044 and 182,646

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Solution

The third proportional to 130,044 and 182,646 is: 256,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,044 : 182,646 = 182,646 : x
  2. Step 2: Convert to fraction form
    130,044/182,646 = 182,646/x
  3. Step 3: Cross multiply
    130,044x = 182,646 × 182,646
  4. Step 4: Simplify right side
    130,044x = 33,359,561,316
  5. Step 5: Solve for x
    x = 33,359,561,316/130,044
  6. Step 6: Final answer
    x = 256,525.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.