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Finding the Third Proportional to 44,507 and 90,666

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Solution

The third proportional to 44,507 and 90,666 is: 184,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,507 : 90,666 = 90,666 : x
  2. Step 2: Convert to fraction form
    44,507/90,666 = 90,666/x
  3. Step 3: Cross multiply
    44,507x = 90,666 × 90,666
  4. Step 4: Simplify right side
    44,507x = 8,220,323,556
  5. Step 5: Solve for x
    x = 8,220,323,556/44,507
  6. Step 6: Final answer
    x = 184,697.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.