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Finding the Third Proportional to 58,335 and 120,558

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Solution

The third proportional to 58,335 and 120,558 is: 249,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,335 : 120,558 = 120,558 : x
  2. Step 2: Convert to fraction form
    58,335/120,558 = 120,558/x
  3. Step 3: Cross multiply
    58,335x = 120,558 × 120,558
  4. Step 4: Simplify right side
    58,335x = 14,534,231,364
  5. Step 5: Solve for x
    x = 14,534,231,364/58,335
  6. Step 6: Final answer
    x = 249,151.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.