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Finding the Third Proportional to 121,910.06 and 260,720.02

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Solution

The third proportional to 121,910.06 and 260,720.02 is: 557,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,910.06 : 260,720.02 = 260,720.02 : x
  2. Step 2: Convert to fraction form
    121,910.06/260,720.02 = 260,720.02/x
  3. Step 3: Cross multiply
    121,910.06x = 260,720.02 × 260,720.02
  4. Step 4: Simplify right side
    121,910.06x = 67,974,926,547.50
  5. Step 5: Solve for x
    x = 67,974,926,547.50/121,910.06
  6. Step 6: Final answer
    x = 557,582.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.