Finding the Third Proportional to 102,322 and 157,857
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Solution
The third proportional to 102,322 and 157,857 is: 243,533.48
Step by Step Solution
- Step 1: Write the proportion equation
102,322 : 157,857 = 157,857 : x - Step 2: Convert to fraction form
102,322/157,857 = 157,857/x - Step 3: Cross multiply
102,322x = 157,857 × 157,857 - Step 4: Simplify right side
102,322x = 24,918,832,449 - Step 5: Solve for x
x = 24,918,832,449/102,322 - Step 6: Final answer
x = 243,533.48
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.