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Finding the Third Proportional to 65,339.58 and 96,095.53

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Solution

The third proportional to 65,339.58 and 96,095.53 is: 141,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,339.58 : 96,095.53 = 96,095.53 : x
  2. Step 2: Convert to fraction form
    65,339.58/96,095.53 = 96,095.53/x
  3. Step 3: Cross multiply
    65,339.58x = 96,095.53 × 96,095.53
  4. Step 4: Simplify right side
    65,339.58x = 9,234,351,126.22
  5. Step 5: Solve for x
    x = 9,234,351,126.22/65,339.58
  6. Step 6: Final answer
    x = 141,328.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.