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Finding the Third Proportional to 60,507 and 90,730.13

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Solution

The third proportional to 60,507 and 90,730.13 is: 136,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,507 : 90,730.13 = 90,730.13 : x
  2. Step 2: Convert to fraction form
    60,507/90,730.13 = 90,730.13/x
  3. Step 3: Cross multiply
    60,507x = 90,730.13 × 90,730.13
  4. Step 4: Simplify right side
    60,507x = 8,231,955,582.52
  5. Step 5: Solve for x
    x = 8,231,955,582.52/60,507
  6. Step 6: Final answer
    x = 136,049.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.