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Finding the Third Proportional to 58,365 and 121,752

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Solution

The third proportional to 58,365 and 121,752 is: 253,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,365 : 121,752 = 121,752 : x
  2. Step 2: Convert to fraction form
    58,365/121,752 = 121,752/x
  3. Step 3: Cross multiply
    58,365x = 121,752 × 121,752
  4. Step 4: Simplify right side
    58,365x = 14,823,549,504
  5. Step 5: Solve for x
    x = 14,823,549,504/58,365
  6. Step 6: Final answer
    x = 253,980.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.