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Finding the Third Proportional to 104,073 and 148,717.50

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Solution

The third proportional to 104,073 and 148,717.50 is: 212,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,073 : 148,717.50 = 148,717.50 : x
  2. Step 2: Convert to fraction form
    104,073/148,717.50 = 148,717.50/x
  3. Step 3: Cross multiply
    104,073x = 148,717.50 × 148,717.50
  4. Step 4: Simplify right side
    104,073x = 22,116,894,806.25
  5. Step 5: Solve for x
    x = 22,116,894,806.25/104,073
  6. Step 6: Final answer
    x = 212,513.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.