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Finding the Third Proportional to 91,303 and 144,875

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Solution

The third proportional to 91,303 and 144,875 is: 229,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,303 : 144,875 = 144,875 : x
  2. Step 2: Convert to fraction form
    91,303/144,875 = 144,875/x
  3. Step 3: Cross multiply
    91,303x = 144,875 × 144,875
  4. Step 4: Simplify right side
    91,303x = 20,988,765,625
  5. Step 5: Solve for x
    x = 20,988,765,625/91,303
  6. Step 6: Final answer
    x = 229,880.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.