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Finding the Third Proportional to 61,965 and 83,045.25

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Solution

The third proportional to 61,965 and 83,045.25 is: 111,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,965 : 83,045.25 = 83,045.25 : x
  2. Step 2: Convert to fraction form
    61,965/83,045.25 = 83,045.25/x
  3. Step 3: Cross multiply
    61,965x = 83,045.25 × 83,045.25
  4. Step 4: Simplify right side
    61,965x = 6,896,513,547.56
  5. Step 5: Solve for x
    x = 6,896,513,547.56/61,965
  6. Step 6: Final answer
    x = 111,296.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.