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Finding the Third Proportional to 64,530.47 and 138,402.45

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Solution

The third proportional to 64,530.47 and 138,402.45 is: 296,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,530.47 : 138,402.45 = 138,402.45 : x
  2. Step 2: Convert to fraction form
    64,530.47/138,402.45 = 138,402.45/x
  3. Step 3: Cross multiply
    64,530.47x = 138,402.45 × 138,402.45
  4. Step 4: Simplify right side
    64,530.47x = 19,155,237,679.43
  5. Step 5: Solve for x
    x = 19,155,237,679.43/64,530.47
  6. Step 6: Final answer
    x = 296,840.18

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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.