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Finding the Third Proportional to 45,135 and 97,803

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Solution

The third proportional to 45,135 and 97,803 is: 211,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,135 : 97,803 = 97,803 : x
  2. Step 2: Convert to fraction form
    45,135/97,803 = 97,803/x
  3. Step 3: Cross multiply
    45,135x = 97,803 × 97,803
  4. Step 4: Simplify right side
    45,135x = 9,565,426,809
  5. Step 5: Solve for x
    x = 9,565,426,809/45,135
  6. Step 6: Final answer
    x = 211,929.25

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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.