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Finding the Third Proportional to 53,283 and 88,795.50

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Solution

The third proportional to 53,283 and 88,795.50 is: 147,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283 : 88,795.50 = 88,795.50 : x
  2. Step 2: Convert to fraction form
    53,283/88,795.50 = 88,795.50/x
  3. Step 3: Cross multiply
    53,283x = 88,795.50 × 88,795.50
  4. Step 4: Simplify right side
    53,283x = 7,884,640,820.25
  5. Step 5: Solve for x
    x = 7,884,640,820.25/53,283
  6. Step 6: Final answer
    x = 147,976.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.