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Finding the Third Proportional to 145,838 and 191,501

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Solution

The third proportional to 145,838 and 191,501 is: 251,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838 : 191,501 = 191,501 : x
  2. Step 2: Convert to fraction form
    145,838/191,501 = 191,501/x
  3. Step 3: Cross multiply
    145,838x = 191,501 × 191,501
  4. Step 4: Simplify right side
    145,838x = 36,672,633,001
  5. Step 5: Solve for x
    x = 36,672,633,001/145,838
  6. Step 6: Final answer
    x = 251,461.44

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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.