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Finding the Third Proportional to 53,283 and 79,560

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Solution

The third proportional to 53,283 and 79,560 is: 118,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283 : 79,560 = 79,560 : x
  2. Step 2: Convert to fraction form
    53,283/79,560 = 79,560/x
  3. Step 3: Cross multiply
    53,283x = 79,560 × 79,560
  4. Step 4: Simplify right side
    53,283x = 6,329,793,600
  5. Step 5: Solve for x
    x = 6,329,793,600/53,283
  6. Step 6: Final answer
    x = 118,795.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.