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Finding the Third Proportional to 98,784 and 153,000

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Solution

The third proportional to 98,784 and 153,000 is: 236,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784 : 153,000 = 153,000 : x
  2. Step 2: Convert to fraction form
    98,784/153,000 = 153,000/x
  3. Step 3: Cross multiply
    98,784x = 153,000 × 153,000
  4. Step 4: Simplify right side
    98,784x = 23,409,000,000
  5. Step 5: Solve for x
    x = 23,409,000,000/98,784
  6. Step 6: Final answer
    x = 236,971.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.