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Finding the Third Proportional to 53,316 and 88,852

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Solution

The third proportional to 53,316 and 88,852 is: 148,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,316 : 88,852 = 88,852 : x
  2. Step 2: Convert to fraction form
    53,316/88,852 = 88,852/x
  3. Step 3: Cross multiply
    53,316x = 88,852 × 88,852
  4. Step 4: Simplify right side
    53,316x = 7,894,677,904
  5. Step 5: Solve for x
    x = 7,894,677,904/53,316
  6. Step 6: Final answer
    x = 148,073.33

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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.