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Finding the Third Proportional to 90,465 and 130,324.50

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Solution

The third proportional to 90,465 and 130,324.50 is: 187,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465 : 130,324.50 = 130,324.50 : x
  2. Step 2: Convert to fraction form
    90,465/130,324.50 = 130,324.50/x
  3. Step 3: Cross multiply
    90,465x = 130,324.50 × 130,324.50
  4. Step 4: Simplify right side
    90,465x = 16,984,475,300.25
  5. Step 5: Solve for x
    x = 16,984,475,300.25/90,465
  6. Step 6: Final answer
    x = 187,746.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.