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Finding the Third Proportional to 57,507 and 121,938

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Solution

The third proportional to 57,507 and 121,938 is: 258,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,507 : 121,938 = 121,938 : x
  2. Step 2: Convert to fraction form
    57,507/121,938 = 121,938/x
  3. Step 3: Cross multiply
    57,507x = 121,938 × 121,938
  4. Step 4: Simplify right side
    57,507x = 14,868,875,844
  5. Step 5: Solve for x
    x = 14,868,875,844/57,507
  6. Step 6: Final answer
    x = 258,557.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.