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Finding the Third Proportional to 70,364 and 151,726

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Solution

The third proportional to 70,364 and 151,726 is: 327,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,364 : 151,726 = 151,726 : x
  2. Step 2: Convert to fraction form
    70,364/151,726 = 151,726/x
  3. Step 3: Cross multiply
    70,364x = 151,726 × 151,726
  4. Step 4: Simplify right side
    70,364x = 23,020,779,076
  5. Step 5: Solve for x
    x = 23,020,779,076/70,364
  6. Step 6: Final answer
    x = 327,167.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.