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Finding the Third Proportional to 45,070 and 104,332

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Solution

The third proportional to 45,070 and 104,332 is: 241,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,070 : 104,332 = 104,332 : x
  2. Step 2: Convert to fraction form
    45,070/104,332 = 104,332/x
  3. Step 3: Cross multiply
    45,070x = 104,332 × 104,332
  4. Step 4: Simplify right side
    45,070x = 10,885,166,224
  5. Step 5: Solve for x
    x = 10,885,166,224/45,070
  6. Step 6: Final answer
    x = 241,516.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.