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Finding the Third Proportional to 70,016 and 153,637.75

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Solution

The third proportional to 70,016 and 153,637.75 is: 337,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,016 : 153,637.75 = 153,637.75 : x
  2. Step 2: Convert to fraction form
    70,016/153,637.75 = 153,637.75/x
  3. Step 3: Cross multiply
    70,016x = 153,637.75 × 153,637.75
  4. Step 4: Simplify right side
    70,016x = 23,604,558,225.06
  5. Step 5: Solve for x
    x = 23,604,558,225.06/70,016
  6. Step 6: Final answer
    x = 337,130.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.