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Finding the Third Proportional to 73,044 and 97,537.50

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Solution

The third proportional to 73,044 and 97,537.50 is: 130,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,044 : 97,537.50 = 97,537.50 : x
  2. Step 2: Convert to fraction form
    73,044/97,537.50 = 97,537.50/x
  3. Step 3: Cross multiply
    73,044x = 97,537.50 × 97,537.50
  4. Step 4: Simplify right side
    73,044x = 9,513,563,906.25
  5. Step 5: Solve for x
    x = 9,513,563,906.25/73,044
  6. Step 6: Final answer
    x = 130,244.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.