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Finding the Third Proportional to 73,095 and 112,884

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Solution

The third proportional to 73,095 and 112,884 is: 174,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095 : 112,884 = 112,884 : x
  2. Step 2: Convert to fraction form
    73,095/112,884 = 112,884/x
  3. Step 3: Cross multiply
    73,095x = 112,884 × 112,884
  4. Step 4: Simplify right side
    73,095x = 12,742,797,456
  5. Step 5: Solve for x
    x = 12,742,797,456/73,095
  6. Step 6: Final answer
    x = 174,332.00

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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.