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Finding the Third Proportional to 70,507.69 and 153,876.94

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Solution

The third proportional to 70,507.69 and 153,876.94 is: 335,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.69 : 153,876.94 = 153,876.94 : x
  2. Step 2: Convert to fraction form
    70,507.69/153,876.94 = 153,876.94/x
  3. Step 3: Cross multiply
    70,507.69x = 153,876.94 × 153,876.94
  4. Step 4: Simplify right side
    70,507.69x = 23,678,111,894.38
  5. Step 5: Solve for x
    x = 23,678,111,894.38/70,507.69
  6. Step 6: Final answer
    x = 335,823.12

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