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Finding the Third Proportional to 145,998 and 191,709

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Solution

The third proportional to 145,998 and 191,709 is: 251,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,998 : 191,709 = 191,709 : x
  2. Step 2: Convert to fraction form
    145,998/191,709 = 191,709/x
  3. Step 3: Cross multiply
    145,998x = 191,709 × 191,709
  4. Step 4: Simplify right side
    145,998x = 36,752,340,681
  5. Step 5: Solve for x
    x = 36,752,340,681/145,998
  6. Step 6: Final answer
    x = 251,731.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.