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Finding the Third Proportional to 45,008 and 97,784

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Solution

The third proportional to 45,008 and 97,784 is: 212,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,008 : 97,784 = 97,784 : x
  2. Step 2: Convert to fraction form
    45,008/97,784 = 97,784/x
  3. Step 3: Cross multiply
    45,008x = 97,784 × 97,784
  4. Step 4: Simplify right side
    45,008x = 9,561,710,656
  5. Step 5: Solve for x
    x = 9,561,710,656/45,008
  6. Step 6: Final answer
    x = 212,444.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.