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Finding the Third Proportional to 99,773 and 145,768

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Solution

The third proportional to 99,773 and 145,768 is: 212,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,773 : 145,768 = 145,768 : x
  2. Step 2: Convert to fraction form
    99,773/145,768 = 145,768/x
  3. Step 3: Cross multiply
    99,773x = 145,768 × 145,768
  4. Step 4: Simplify right side
    99,773x = 21,248,309,824
  5. Step 5: Solve for x
    x = 21,248,309,824/99,773
  6. Step 6: Final answer
    x = 212,966.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.