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Finding the Third Proportional to 70,534.50 and 153,501

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Solution

The third proportional to 70,534.50 and 153,501 is: 334,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534.50 : 153,501 = 153,501 : x
  2. Step 2: Convert to fraction form
    70,534.50/153,501 = 153,501/x
  3. Step 3: Cross multiply
    70,534.50x = 153,501 × 153,501
  4. Step 4: Simplify right side
    70,534.50x = 23,562,557,001
  5. Step 5: Solve for x
    x = 23,562,557,001/70,534.50
  6. Step 6: Final answer
    x = 334,057.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.