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Finding the Third Proportional to 64,954 and 88,023

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Solution

The third proportional to 64,954 and 88,023 is: 119,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,954 : 88,023 = 88,023 : x
  2. Step 2: Convert to fraction form
    64,954/88,023 = 88,023/x
  3. Step 3: Cross multiply
    64,954x = 88,023 × 88,023
  4. Step 4: Simplify right side
    64,954x = 7,748,048,529
  5. Step 5: Solve for x
    x = 7,748,048,529/64,954
  6. Step 6: Final answer
    x = 119,285.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.