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Finding the Third Proportional to 61,585 and 134,545

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Solution

The third proportional to 61,585 and 134,545 is: 293,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,585 : 134,545 = 134,545 : x
  2. Step 2: Convert to fraction form
    61,585/134,545 = 134,545/x
  3. Step 3: Cross multiply
    61,585x = 134,545 × 134,545
  4. Step 4: Simplify right side
    61,585x = 18,102,357,025
  5. Step 5: Solve for x
    x = 18,102,357,025/61,585
  6. Step 6: Final answer
    x = 293,941.01

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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.