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Finding the Third Proportional to 64,730 and 138,784

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Solution

The third proportional to 64,730 and 138,784 is: 297,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,730 : 138,784 = 138,784 : x
  2. Step 2: Convert to fraction form
    64,730/138,784 = 138,784/x
  3. Step 3: Cross multiply
    64,730x = 138,784 × 138,784
  4. Step 4: Simplify right side
    64,730x = 19,260,998,656
  5. Step 5: Solve for x
    x = 19,260,998,656/64,730
  6. Step 6: Final answer
    x = 297,559.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.