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Finding the Third Proportional to 45,714 and 97,044

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Solution

The third proportional to 45,714 and 97,044 is: 206,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,714 : 97,044 = 97,044 : x
  2. Step 2: Convert to fraction form
    45,714/97,044 = 97,044/x
  3. Step 3: Cross multiply
    45,714x = 97,044 × 97,044
  4. Step 4: Simplify right side
    45,714x = 9,417,537,936
  5. Step 5: Solve for x
    x = 9,417,537,936/45,714
  6. Step 6: Final answer
    x = 206,009.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.