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Finding the Third Proportional to 64,773 and 141,354

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Solution

The third proportional to 64,773 and 141,354 is: 308,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,773 : 141,354 = 141,354 : x
  2. Step 2: Convert to fraction form
    64,773/141,354 = 141,354/x
  3. Step 3: Cross multiply
    64,773x = 141,354 × 141,354
  4. Step 4: Simplify right side
    64,773x = 19,980,953,316
  5. Step 5: Solve for x
    x = 19,980,953,316/64,773
  6. Step 6: Final answer
    x = 308,476.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.