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Finding the Third Proportional to 105,302.53 and 169,636.78

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Solution

The third proportional to 105,302.53 and 169,636.78 is: 273,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,302.53 : 169,636.78 = 169,636.78 : x
  2. Step 2: Convert to fraction form
    105,302.53/169,636.78 = 169,636.78/x
  3. Step 3: Cross multiply
    105,302.53x = 169,636.78 × 169,636.78
  4. Step 4: Simplify right side
    105,302.53x = 28,776,637,552.86
  5. Step 5: Solve for x
    x = 28,776,637,552.86/105,302.53
  6. Step 6: Final answer
    x = 273,275.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.