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Finding the Third Proportional to 46,109.25 and 71,210.25

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Solution

The third proportional to 46,109.25 and 71,210.25 is: 109,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,109.25 : 71,210.25 = 71,210.25 : x
  2. Step 2: Convert to fraction form
    46,109.25/71,210.25 = 71,210.25/x
  3. Step 3: Cross multiply
    46,109.25x = 71,210.25 × 71,210.25
  4. Step 4: Simplify right side
    46,109.25x = 5,070,899,705.06
  5. Step 5: Solve for x
    x = 5,070,899,705.06/46,109.25
  6. Step 6: Final answer
    x = 109,975.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.