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Finding the Third Proportional to 64,306 and 141,061

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Solution

The third proportional to 64,306 and 141,061 is: 309,430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306 : 141,061 = 141,061 : x
  2. Step 2: Convert to fraction form
    64,306/141,061 = 141,061/x
  3. Step 3: Cross multiply
    64,306x = 141,061 × 141,061
  4. Step 4: Simplify right side
    64,306x = 19,898,205,721
  5. Step 5: Solve for x
    x = 19,898,205,721/64,306
  6. Step 6: Final answer
    x = 309,430.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.