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Finding the Third Proportional to 91,752 and 141,069

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Solution

The third proportional to 91,752 and 141,069 is: 216,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752 : 141,069 = 141,069 : x
  2. Step 2: Convert to fraction form
    91,752/141,069 = 141,069/x
  3. Step 3: Cross multiply
    91,752x = 141,069 × 141,069
  4. Step 4: Simplify right side
    91,752x = 19,900,462,761
  5. Step 5: Solve for x
    x = 19,900,462,761/91,752
  6. Step 6: Final answer
    x = 216,894.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.