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Finding the Third Proportional to 97,148 and 149,875

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Solution

The third proportional to 97,148 and 149,875 is: 231,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,148 : 149,875 = 149,875 : x
  2. Step 2: Convert to fraction form
    97,148/149,875 = 149,875/x
  3. Step 3: Cross multiply
    97,148x = 149,875 × 149,875
  4. Step 4: Simplify right side
    97,148x = 22,462,515,625
  5. Step 5: Solve for x
    x = 22,462,515,625/97,148
  6. Step 6: Final answer
    x = 231,219.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.