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Finding the Third Proportional to 58,924 and 121,303

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Solution

The third proportional to 58,924 and 121,303 is: 249,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,924 : 121,303 = 121,303 : x
  2. Step 2: Convert to fraction form
    58,924/121,303 = 121,303/x
  3. Step 3: Cross multiply
    58,924x = 121,303 × 121,303
  4. Step 4: Simplify right side
    58,924x = 14,714,417,809
  5. Step 5: Solve for x
    x = 14,714,417,809/58,924
  6. Step 6: Final answer
    x = 249,718.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.