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Finding the Third Proportional to 45,051 and 97,788

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Solution

The third proportional to 45,051 and 97,788 is: 212,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,051 : 97,788 = 97,788 : x
  2. Step 2: Convert to fraction form
    45,051/97,788 = 97,788/x
  3. Step 3: Cross multiply
    45,051x = 97,788 × 97,788
  4. Step 4: Simplify right side
    45,051x = 9,562,492,944
  5. Step 5: Solve for x
    x = 9,562,492,944/45,051
  6. Step 6: Final answer
    x = 212,259.28

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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.