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Finding the Third Proportional to 72,564.19 and 112,079.53

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Solution

The third proportional to 72,564.19 and 112,079.53 is: 173,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,564.19 : 112,079.53 = 112,079.53 : x
  2. Step 2: Convert to fraction form
    72,564.19/112,079.53 = 112,079.53/x
  3. Step 3: Cross multiply
    72,564.19x = 112,079.53 × 112,079.53
  4. Step 4: Simplify right side
    72,564.19x = 12,561,821,325.22
  5. Step 5: Solve for x
    x = 12,561,821,325.22/72,564.19
  6. Step 6: Final answer
    x = 173,113.24

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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.