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Finding the Third Proportional to 66,498.47 and 105,283.55

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Solution

The third proportional to 66,498.47 and 105,283.55 is: 166,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498.47 : 105,283.55 = 105,283.55 : x
  2. Step 2: Convert to fraction form
    66,498.47/105,283.55 = 105,283.55/x
  3. Step 3: Cross multiply
    66,498.47x = 105,283.55 × 105,283.55
  4. Step 4: Simplify right side
    66,498.47x = 11,084,625,242.58
  5. Step 5: Solve for x
    x = 11,084,625,242.58/66,498.47
  6. Step 6: Final answer
    x = 166,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.