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Finding the Third Proportional to 66,106.13 and 96,390

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Solution

The third proportional to 66,106.13 and 96,390 is: 140,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.13 : 96,390 = 96,390 : x
  2. Step 2: Convert to fraction form
    66,106.13/96,390 = 96,390/x
  3. Step 3: Cross multiply
    66,106.13x = 96,390 × 96,390
  4. Step 4: Simplify right side
    66,106.13x = 9,291,032,100
  5. Step 5: Solve for x
    x = 9,291,032,100/66,106.13
  6. Step 6: Final answer
    x = 140,547.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.