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Finding the Third Proportional to 109,703.11 and 174,547.41

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Solution

The third proportional to 109,703.11 and 174,547.41 is: 277,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,703.11 : 174,547.41 = 174,547.41 : x
  2. Step 2: Convert to fraction form
    109,703.11/174,547.41 = 174,547.41/x
  3. Step 3: Cross multiply
    109,703.11x = 174,547.41 × 174,547.41
  4. Step 4: Simplify right side
    109,703.11x = 30,466,797,028.60
  5. Step 5: Solve for x
    x = 30,466,797,028.60/109,703.11
  6. Step 6: Final answer
    x = 277,720.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.