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Finding the Third Proportional to 73,130 and 110,594

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Solution

The third proportional to 73,130 and 110,594 is: 167,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,130 : 110,594 = 110,594 : x
  2. Step 2: Convert to fraction form
    73,130/110,594 = 110,594/x
  3. Step 3: Cross multiply
    73,130x = 110,594 × 110,594
  4. Step 4: Simplify right side
    73,130x = 12,231,032,836
  5. Step 5: Solve for x
    x = 12,231,032,836/73,130
  6. Step 6: Final answer
    x = 167,250.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.