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Finding the Third Proportional to 44,656 and 97,088

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Solution

The third proportional to 44,656 and 97,088 is: 211,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,656 : 97,088 = 97,088 : x
  2. Step 2: Convert to fraction form
    44,656/97,088 = 97,088/x
  3. Step 3: Cross multiply
    44,656x = 97,088 × 97,088
  4. Step 4: Simplify right side
    44,656x = 9,426,079,744
  5. Step 5: Solve for x
    x = 9,426,079,744/44,656
  6. Step 6: Final answer
    x = 211,082.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.