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Finding the Third Proportional to 91,886 and 147,428

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Solution

The third proportional to 91,886 and 147,428 is: 236,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,886 : 147,428 = 147,428 : x
  2. Step 2: Convert to fraction form
    91,886/147,428 = 147,428/x
  3. Step 3: Cross multiply
    91,886x = 147,428 × 147,428
  4. Step 4: Simplify right side
    91,886x = 21,735,015,184
  5. Step 5: Solve for x
    x = 21,735,015,184/91,886
  6. Step 6: Final answer
    x = 236,543.27

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.