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Finding the Third Proportional to 89,281 and 130,497.50

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Solution

The third proportional to 89,281 and 130,497.50 is: 190,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,281 : 130,497.50 = 130,497.50 : x
  2. Step 2: Convert to fraction form
    89,281/130,497.50 = 130,497.50/x
  3. Step 3: Cross multiply
    89,281x = 130,497.50 × 130,497.50
  4. Step 4: Simplify right side
    89,281x = 17,029,597,506.25
  5. Step 5: Solve for x
    x = 17,029,597,506.25/89,281
  6. Step 6: Final answer
    x = 190,741.56

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