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Finding the Third Proportional to 98,133 and 151,047

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Solution

The third proportional to 98,133 and 151,047 is: 232,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,133 : 151,047 = 151,047 : x
  2. Step 2: Convert to fraction form
    98,133/151,047 = 151,047/x
  3. Step 3: Cross multiply
    98,133x = 151,047 × 151,047
  4. Step 4: Simplify right side
    98,133x = 22,815,196,209
  5. Step 5: Solve for x
    x = 22,815,196,209/98,133
  6. Step 6: Final answer
    x = 232,492.60

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Why These Related Problems?

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