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Finding the Third Proportional to 57,352 and 89,430

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Solution

The third proportional to 57,352 and 89,430 is: 139,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,352 : 89,430 = 89,430 : x
  2. Step 2: Convert to fraction form
    57,352/89,430 = 89,430/x
  3. Step 3: Cross multiply
    57,352x = 89,430 × 89,430
  4. Step 4: Simplify right side
    57,352x = 7,997,724,900
  5. Step 5: Solve for x
    x = 7,997,724,900/57,352
  6. Step 6: Final answer
    x = 139,449.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.