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Finding the Third Proportional to 70,116 and 153,840

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Solution

The third proportional to 70,116 and 153,840 is: 337,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,116 : 153,840 = 153,840 : x
  2. Step 2: Convert to fraction form
    70,116/153,840 = 153,840/x
  3. Step 3: Cross multiply
    70,116x = 153,840 × 153,840
  4. Step 4: Simplify right side
    70,116x = 23,666,745,600
  5. Step 5: Solve for x
    x = 23,666,745,600/70,116
  6. Step 6: Final answer
    x = 337,537.02

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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.