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Finding the Third Proportional to 73,465 and 109,117.50

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Solution

The third proportional to 73,465 and 109,117.50 is: 162,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,465 : 109,117.50 = 109,117.50 : x
  2. Step 2: Convert to fraction form
    73,465/109,117.50 = 109,117.50/x
  3. Step 3: Cross multiply
    73,465x = 109,117.50 × 109,117.50
  4. Step 4: Simplify right side
    73,465x = 11,906,628,806.25
  5. Step 5: Solve for x
    x = 11,906,628,806.25/73,465
  6. Step 6: Final answer
    x = 162,072.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.