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Finding the Third Proportional to 53,176.50 and 83,430

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Solution

The third proportional to 53,176.50 and 83,430 is: 130,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,176.50 : 83,430 = 83,430 : x
  2. Step 2: Convert to fraction form
    53,176.50/83,430 = 83,430/x
  3. Step 3: Cross multiply
    53,176.50x = 83,430 × 83,430
  4. Step 4: Simplify right side
    53,176.50x = 6,960,564,900
  5. Step 5: Solve for x
    x = 6,960,564,900/53,176.50
  6. Step 6: Final answer
    x = 130,895.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.