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Finding the Third Proportional to 61,316 and 125,224

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Solution

The third proportional to 61,316 and 125,224 is: 255,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,316 : 125,224 = 125,224 : x
  2. Step 2: Convert to fraction form
    61,316/125,224 = 125,224/x
  3. Step 3: Cross multiply
    61,316x = 125,224 × 125,224
  4. Step 4: Simplify right side
    61,316x = 15,681,050,176
  5. Step 5: Solve for x
    x = 15,681,050,176/61,316
  6. Step 6: Final answer
    x = 255,741.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.