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Finding the Third Proportional to 58,038 and 78,303

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Solution

The third proportional to 58,038 and 78,303 is: 105,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,038 : 78,303 = 78,303 : x
  2. Step 2: Convert to fraction form
    58,038/78,303 = 78,303/x
  3. Step 3: Cross multiply
    58,038x = 78,303 × 78,303
  4. Step 4: Simplify right side
    58,038x = 6,131,359,809
  5. Step 5: Solve for x
    x = 6,131,359,809/58,038
  6. Step 6: Final answer
    x = 105,643.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.