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Finding the Third Proportional to 93,419 and 148,719

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Solution

The third proportional to 93,419 and 148,719 is: 236,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,419 : 148,719 = 148,719 : x
  2. Step 2: Convert to fraction form
    93,419/148,719 = 148,719/x
  3. Step 3: Cross multiply
    93,419x = 148,719 × 148,719
  4. Step 4: Simplify right side
    93,419x = 22,117,340,961
  5. Step 5: Solve for x
    x = 22,117,340,961/93,419
  6. Step 6: Final answer
    x = 236,754.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.