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Finding the Third Proportional to 66,582 and 100,588.50

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Solution

The third proportional to 66,582 and 100,588.50 is: 151,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582 : 100,588.50 = 100,588.50 : x
  2. Step 2: Convert to fraction form
    66,582/100,588.50 = 100,588.50/x
  3. Step 3: Cross multiply
    66,582x = 100,588.50 × 100,588.50
  4. Step 4: Simplify right side
    66,582x = 10,118,046,332.25
  5. Step 5: Solve for x
    x = 10,118,046,332.25/66,582
  6. Step 6: Final answer
    x = 151,963.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.