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Finding the Third Proportional to 53,694 and 121,312.50

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Solution

The third proportional to 53,694 and 121,312.50 is: 274,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694 : 121,312.50 = 121,312.50 : x
  2. Step 2: Convert to fraction form
    53,694/121,312.50 = 121,312.50/x
  3. Step 3: Cross multiply
    53,694x = 121,312.50 × 121,312.50
  4. Step 4: Simplify right side
    53,694x = 14,716,722,656.25
  5. Step 5: Solve for x
    x = 14,716,722,656.25/53,694
  6. Step 6: Final answer
    x = 274,085.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.